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A dog whistle is designed to produce a sound with a frequency beyond that which can be heard by humans. If a particular whistle produces a sound with a frequency of 2.5x10 4 Hz, what is the sound’s wavelength? Assume the speed of sound in air is 343 m/s.

Question

A dog whistle is designed to produce a sound with a frequency beyond that which can be heard by humans. If a particular whistle produces a sound with a frequency of 2.5x10 4 Hz, what is the sound’s wavelength? Assume the speed of sound in air is 343 m/s.

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Solution

To find the wavelength of the sound, we can use the formula for the speed of sound, which is:

Speed of Sound = Frequency * Wavelength

We know the speed of sound in air is 343 m/s and the frequency of the sound is 2.5x10^4 Hz. We can rearrange the formula to solve for the wavelength:

Wavelength = Speed of Sound / Frequency

Substituting the given values:

Wavelength = 343 m/s / 2.5x10^4 Hz

This gives us a wavelength of approximately 0.01372 meters, or 1.372 cm.

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